We say that a sentence is factually significant to any given person, if, and only if, he knows how to verify the proposition which it purports to express.
A.J. AyerThe principles of logic and mathematics are true simply because we never allow them to be anything else. And the reason for this is that we cannot abandon them without contradicting ourselves, without sinning against the rules which govern the use of language, and so making our utterances self-stultifying. In other words, the truths of logic and mathematics are analytic propositions or tautologies.
A.J. AyerI do not believe in God. It seems to me that theists of all kinds have very largely failed to make their concept of a deity intelligible; and to the extent that they have made it intelligible, they have given us no reason to think that anything answers to it.
A.J. AyerIf 'god' is a metaphysical term, then it cannot be even probable that a god exists. For to say that 'God exists' is to make a metaphysical utterance which cannot be either true or false. And by the same criterion, no sentence which purports to describe the nature of a transcendent god can possess any literal significance.
A.J. Ayer